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When the value represented by the circle is part of the solution set.
When graphing inequalities you use a circle to indicate a value on a graph. If the value is included in the solution to the inequality you would fill in the circle. If the value that the circle represents is not included in the solution you would leave the circle unshaded.
If points on the circumference are excluded from the locus then an open circle, else a closed one.
It means that both inequalities must be satisfied.
If the inequality is > or< then it is an open circle. If it is greater than or equal to or less than or equal to, it is a closed circle.